3 papers
math.AP2024
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
math.AP2024
A Darcy law with memory by homogenisation for evolving microstructure
David Wiedemann, Malte A. Peter
We consider the homogenisation of the instationary Stokes equations in a porous medium with an a-priori given evolving microstructure. In order to pass to the homogenisation limit,…
math.NA2023
Computational polyconvexification of isotropic functions
Timo Neumeier, Malte A. Peter, Daniel Peterseim +1
Based on the characterization of the polyconvex envelope of isotropic functions by their signed singular value representations, we propose a simple algorithm for the numerical appr…